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A simple partial differential equation (PDE) with boundary conditions is examined:

d/dx( x dy/dx ) = x
y(0) = y(1) = 0.

Integrate the PDE twice to get its solution. Then apply the boundary conditions and get a contradiction. The boundary value problem(BVP)has no solution.

Regardless, apply the finite elements method (FEM) using piecewise linear basis functions. The FEM is successfully completed without a...



Gaussian kernel regression and local linear Gaussian kernel regression with variable window width
This is the same as ksr and ksrlin (file File ID: #19195 and #19564), but instead of using the same bandwidth for each point, it uses a variable...



IMGAUSSIAN filters an 1D, 2D color/greyscale or 3D image with a Gaussian filter.

Instead of using a multidimensional Gaussian kernel, it uses the fact that a Gaussian kernel can be separated in 1D kernels.

By the default the...



Quick and simple implementation of Gaussian mixture model (with same covariance shapes) based expectation-maximization algorithm.



G3 = gauss3D(sz_X, sz_Y, sz_Z, a, prec);

returns a 3 dimensional matrix being a gaussian bell curve where the width in the (x/y/z)-dimension is proportional to 1/a(1), 1/a(2) and 1/a(3), respectively. "prec" is the data...



How to fit a 2D Gaussian function to noisy data in Matlab? Or data with another number of dimensions and arbitrary fit function?

It took me a while to find out how Matlab does this by the functions lsqcurvefit, fmincon or fminsearch....



GMM-GMR is a set of Matlab functions to train a Gaussian Mixture Model (GMM) and retrieve generalized data through Gaussian Mixture Regression (GMR). It allows to encode efficiently any dataset in Gaussian Mixture Model (GMM) through the use of an...



There are many techniques used to deal with the problem of high PAPR in OFDM systems. An effective one is the Partial Transmit Sequence. It is simulated for QPSK modulated 64-subband OFDM system.
Moreover, a .mat file of 100000 such OFDM...



In the paper "An estimation technique for Time Indexed gaussian Mixture Models", we propose a model specification that can be used to describe data with spikes, jumps, mean reversion, geometric brownian motion, you name it...



A common technique for removing noise from images is by blur-
ring them with a weighted mean or a Gaussian filter. Through these
processes noise reduction is achieved, but unfortunately, valuable
information is lost and the details...



SHPATH - shortest path with obstacle avoidance (ver 1.3)

Given a "terrain" matrix consisting of zeros (for open space) and ones (for obstacles), this function computes the shortest path between two specified points while...



Partial sums of Fourier terms for a function with jumps in value or derivative converge poorly, because of the Gibbs phenomenon. This file uses the Fourier coefficients, and locations of the singularities, to construct a different approximation...



A Gaussian mixture model means that each data point is drawn (randomly) from one of C classes of data, with probability p_i of being drawn from class i, and each class is distributed as a Gaussian with mean standard deviation mu_i and sigma_i....



This collection generates random variables and vectors of random variables with various distributions, including Bernoulli, geometric, exponential, Gaussian, Poisson, discrete uniform, and continuous uniform, based on the parameters you input to...



Create a non isotropic 3D Gaussian PSF
The program takes three different standard deviation as input and creates a 3D non isotropic Gaussian distribution realted to it.
Works faster with Statistical toolbox, but works fine without.



The Radial Basis Function (RBF) with LMS algorithm for Simulink.
The Radial Basis Function (RBF)
Batch-mode training
Fixed centers selected at random
The Gaussian basis functions
Computing the output weights with LMS...



GEN_SUSAN - Generalized SUSAN 2-D filtering SUSAN filtering with filter kernel W scaled with generalized Gaussian of intensity difference. Different prefiltering functions can be selected as well as width and exponent of the intensity scaling....



TX is a free and open source cross-platform Computer Assisted Translation tool with translation memory, full and partial matches, machine translation, glossaries, search engine, support for various document types, and translation projects.



Caching with ASP.NET is a web based article in which author discusses about methods involved in constructing cache, he clearly explains about page caching, fragment caching and data caching regarding to ASP.NET application. The author elaborates...



Simplify the code when creating XHTML or XML hierarchies with ElementTree.

Usually, I have code like this:

table = ET.SubElement(body, 'table')
table.attrib['border'] = '1'

tr = ET.SubElement(table, 'tr')